The potential of a muon collider as a vector boson collider has not been explored fully. In particular a systematic investigation of vector boson scattering processes, such as \(WW\hspace{-3.0pt}\rightarrow \hspace{-3.0pt} WW\) , has not been performed. The key role played by the Higgs boson to eliminate the energy growth of the corresponding Feynman amplitudes could be directly verified at a muon collider by means of differential measurements that extend well above one TeV for the invariant mass of the scattered vector bosons. Along similar lines, differential measurements of the \(WW\hspace{-3.0pt}\rightarrow \hspace{-3.0pt} HH\)  process has been studied in [1]}, [2]} (see also [3]}) as an effective probe of the composite nature of the Higgs boson, with a reach that is comparable or superior to the one of Higgs coupling measurements. A similar investigation was performed in [4]}, [3]} (see also [3]}) for \(WW\hspace{-3.0pt}\rightarrow \hspace{-3.0pt} t{\overline{t}}\) , aimed at probing Higgs-top interactions.
